Answered: A brick of mass 4 kg hangs from the end…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 5 cm. The spring is then stretched an additional 4 cm and released. Assume there is no air resistance. Note that the acceleration due to gravity, g, is g=980 cm/s.

Set up a differential equation with initial conditions describing the motion and solve it for the displacement s(t) of the mass from its equilibrium position (with the spring stretched 5 cm).

s(t)=?

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Expert Solution

Step 1: Given data

Given:

The mass of the hanging brick: $space m equals space 4 space kg$

Displacement from the equilibrium position: $x space equals space 5 space cm left parenthesis 0.05 space straight m right parenthesis$

The additional displacement of the spring: $x apostrophe space equals space 4 space cm left parenthesis 0.04 space straight m right parenthesis$

The acceleration due to gravity: $g equals 9.80 space straight m divided by straight s squared$

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